A relative Grace Theorem for complex polynomials
arXiv:1410.5935 · doi:10.1017/S0305004116000062
Abstract
We study the pullback of the apolarity invariant of complex polynomials in one variable under a polynomial map on the complex plane. As a consequence, we obtain variations of the classical results of Grace and Walsh in which the unit disk, or a circular domain, is replaced by its image under the given polynomial map.
minor corrections; 14 pages, 3 figures